A code to calculate (high order) Bessel functions based on the continued fractions method

Abstract We have developed a fast code to calculate Bessel functions of integer and fractional order based on the continued fractions method. This algorithm is specially useful in the case of Bessel functions of high order because it does not require any recalculation using normalization relations. Title of program: BESSEL, SPHERICAL Catalogue Id: ACNL_v1_0 Nature of problem We include two codes in order to evaluate: a) Bessel functions of fractional order (Subroutine SPHERICAL) b) Bessel functions of integer order (Subroutine BESSEL) Versions of this program held in the CPC repository in Mendeley Data ACNL_v1_0; BESSEL, SPHERICAL; 10.1016/0010-4655(93)90062-H This program has been imported from the CPC Program Library held at Queen's University Belfast (1969-2019)摘要：我们基于连分数法（continued fractions method）开发了一款可计算整数阶与分数阶贝塞尔函数（Bessel functions）的快速代码。该算法在计算高阶贝塞尔函数时尤为实用，因为它无需借助归一化关系进行重复计算。 程序名称：BESSEL, SPHERICAL 目录编号：ACNL_v1_0 问题属性：本程序包含两套代码以实现两类计算：a) 分数阶贝塞尔函数的SPHERICAL子程序（Subroutine）；b) 整数阶贝塞尔函数的BESSEL子程序（Subroutine）。 门德列耶数据（Mendeley Data）中CPC存储库收录的本程序版本：ACNL_v1_0; BESSEL, SPHERICAL; 10.1016/0010-4655(93)90062-H 本程序源自贝尔法斯特女王大学（1969-2019年）维护的CPC程序库（CPC Program Library）。